Meaning

2 senses
  1. (countable, uncountable)A type of geometry that rejects the parallel postulate. Given a straight line L and a point p not on L, more than one straight line can be drawn through p without intersecting L.

    (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane

  2. (countable, uncountable)A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature

Translations

2 languages

Origin

The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean g

The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).

Wiktionary, CC BY-SA 4.0 · source

hyperbolic geometry — meaning, examples, forms, synonyms | Krumeto